A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?
m less-than-or-equal-to 17
m greater-than-or-equal-to 17
m less-than-or-equal-to 20.3
m greater-than-or-equal-to 20.3

m less-than-or-equal-to 17

Step-by-step explanation: First lets write an equation to solve for m, the amount of miles Henry can afford in the taxi.

The inequality 0.75m - 1.25 less than or equal to 14 represents this.

Solve for m.

0.75m - 1.25 + 1.25 = 14 - 1.25

0.75m = 12.75

We need to make m be equal to one mile not 0.75, so divide both sides by 0.75.

0.75m/0.75 = 12.75/0.75

m = 17          

So m is less than or equal to 17